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• W2804747736 abstract "The paper investigates a non-intrusive parallel time integration with multigrid for space-fractional diffusion equations in two spatial dimensions. We firstly obtain a fully discrete scheme via using the linear finite element method to discretize spatial and temporal derivatives to propagate solutions. Next, we present a non-intrusive time-parallelization and its two-level convergence analysis, where we algorithmically and theoretically generalize the MGRIT to time-dependent fine time-grid propagators. Finally, numerical illustrations show that the obtained numerical scheme possesses the saturation error order, theoretical results of the two-level variant deliver good predictions, and significant speedups can be achieved when compared to parareal and the sequential time-stepping approach." @default.
• W2804747736 created "2018-06-01" @default.
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• W2804747736 date "2018-05-17" @default.
• W2804747736 modified "2023-10-16" @default.
• W2804747736 title "Parallel-in-Time with Fully Finite Element Multigrid for 2-D Space-fractional Diffusion Equations" @default.
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• W2804747736 doi "https://doi.org/10.48550/arxiv.1805.06688" @default.
• W2804747736 hasPublicationYear "2018" @default.
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